Question

qual e a raiz quadrada de 144

Answer 1

Para saber devemos fatorar o 144

144 |2

72 |2

36 |6

6 |6

1

2 . 2 . 6 . 6

2² . 6²

12²

$\mathtt{\sqrt{144}~~=~~\sqrt{12^2}~~=~~12} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: 12}}}$

Answer 2

Raiz quadrada por fatoração

$\begin{array}{r|l}\sf144&\sf2\\\sf72&\sf2\\\sf36&\sf2\\\sf18&\sf2\\\sf9&\sf3\\\sf3&\sf3\\\sf1\end{array}$

$\mathsf{ \sqrt{144}=\sqrt{2^2\cdot2^2\cdot3^2}}$

$\mathsf{ \sqrt{144}=2\cdot2\cdot3}$

$\boxed{\boxed{\mathsf{ \sqrt{144}=12}}}$